he domain for variables x and y is the set {1, 2, 3}. The table below gives the values of P(x, y) for every pair of elements from the domain. For example, P(2, 3) = T because the value in row 2, column 3, is T. 1 2 3 1 T T T Select the statement that is true. Oxvy(-P(x,2)^((x+y)→P(y,2))) Oxvу(P(x,2)^((x+y)→→P(y,2))) Oxvy(-P(2,x)^((x+y)→→P(2,y))) Oxy(P(2,x)^((x+y)→→P(2,y))) 2 T F T 3 T T F

Determine whether the statement is true or false. Prove the statement if it is true, and give a counterexample if it is false. (i) For all real numbers x and y, [x – y] = [x] – [y]. (ii) Let a, b and c be integers. If a|(bc), then a|b or a|c. (iii) Let m and n be integers. If m is even and n is odd, then m² – n² is odd.